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Finding the Third Proportional to 8,439.19 and 18,176.81

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Solution

The third proportional to 8,439.19 and 18,176.81 is: 39,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.19 : 18,176.81 = 18,176.81 : x
  2. Step 2: Convert to fraction form
    8,439.19/18,176.81 = 18,176.81/x
  3. Step 3: Cross multiply
    8,439.19x = 18,176.81 × 18,176.81
  4. Step 4: Simplify right side
    8,439.19x = 330,396,512.66
  5. Step 5: Solve for x
    x = 330,396,512.66/8,439.19
  6. Step 6: Final answer
    x = 39,150.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.